From 50b5fe7e91aa46fb61f429fe6a7a77519fa2571b Mon Sep 17 00:00:00 2001
From: Saad Jbabdi <saad@SJMBPr2016.local>
Date: Fri, 6 Mar 2020 13:55:34 +0000
Subject: [PATCH] added rbf

---
 talks/matlab_vs_python/rbf/play_rbf.ipynb | 31 ++++++++++++-----
 talks/matlab_vs_python/rbf/play_rbf.m     | 42 +++++++++++++++++++++++
 2 files changed, 64 insertions(+), 9 deletions(-)
 create mode 100644 talks/matlab_vs_python/rbf/play_rbf.m

diff --git a/talks/matlab_vs_python/rbf/play_rbf.ipynb b/talks/matlab_vs_python/rbf/play_rbf.ipynb
index d431889..a215dd6 100644
--- a/talks/matlab_vs_python/rbf/play_rbf.ipynb
+++ b/talks/matlab_vs_python/rbf/play_rbf.ipynb
@@ -1,13 +1,22 @@
 {
  "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Matlab v Python. \n",
+    "\n",
+    "This is a very small piece of code that fits RBFs to some data"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 8,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -27,23 +36,27 @@
     "# Generate noisy sine wave\n",
     "x = np.linspace(0,10,100)\n",
     "y = np.sin(3*x) + np.random.randn(x.size)*.5\n",
-    " \n",
+    "\n",
+    "\n",
     "# Define RBF atom\n",
     "# two options:\n",
     "#   inline function definition (not available in matlab)\n",
     "#   lambda : like @ in matlab\n",
     "\n",
-    "sig = 2\n",
+    "sig = 2 # extent of an atom\n",
     "# option 1\n",
     "# def rbf(x,c):\n",
     "#     return np.exp(-(x-c)**2/sig**2)\n",
     "# option 2\n",
     "rbf = lambda x,c : np.exp(-(x-c)**2/sig**2)\n",
     "\n",
-    "# create design matrix\n",
-    "# (use list comprehension to show off)\n",
-    "xi     = np.linspace(0,10,15)\n",
-    "desmat = [rbf(x,c) for c in xi] \n",
+    "\n",
+    "# create a design matrix\n",
+    "# (using list comprehension to show off)\n",
+    "ci     = np.linspace(0,10,20)   # centres of the atoms\n",
+    "desmat = [rbf(x,c) for c in ci] # desmat contains a list of atoms\n",
+    "\n",
+    "# from list to numpy array\n",
     "desmat = np.asarray(desmat).T\n",
     "\n",
     "# invert model\n",
@@ -52,7 +65,7 @@
     "# plot fit\n",
     "plt.figure()\n",
     "plt.plot(x,y,'.')\n",
-    "plt.plot(x,desmat,'k') \n",
+    "plt.plot(x,desmat,'k',alpha=.2) \n",
     "plt.plot(x,desmat@beta)\n",
     "\n",
     "\n",
diff --git a/talks/matlab_vs_python/rbf/play_rbf.m b/talks/matlab_vs_python/rbf/play_rbf.m
new file mode 100644
index 0000000..41d7caf
--- /dev/null
+++ b/talks/matlab_vs_python/rbf/play_rbf.m
@@ -0,0 +1,42 @@
+%% Fitting Radial Basis Functions to some data
+
+% Generate a noisy sine wave and plot it
+x = linspace(0,10,100);
+y = sin(3*x) + randn(size(x))*.5;
+    
+figure,
+plot(x,y)
+
+%% Fit RBF
+
+% This defines a RBF atom function
+sig = 2;
+rbf = @(x,c)(exp(-(x-c).^2/sig^2));
+
+% design matrix for fitting
+xi     = linspace(0,10,20);
+desmat = zeros(length(x),length(xi));
+for i=1:length(xi)
+    % each column is an RBF centered around xi
+    desmat(:,i) = rbf(x,xi(i));
+end
+% fit model
+beta = desmat\y';
+
+% plot fit
+figure(1),hold on
+plot(x,y,'.','markersize',10)
+h = plot(x,desmat,'k'); for i =1:20;h(i).Color=[0,0,0,0.2];end
+plot(x,desmat*beta,'-','linewidth',2)
+% make it a little prettier
+grid on
+xlabel('x')
+ylabel('y')
+set(gca,'fontsize',16)
+title('RBF fitting')
+
+%% save figure
+print -depsc ~/Desktop/RBF.eps 
+close(1)
+!open  ~/Desktop/RBF.eps
+
-- 
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